What is the solution set of the equation 6x^2 - 18x - 18 =6?

Answers

Answer 1

Answer:

The solution set is {4, -1}

Step-by-step explanation:

6x²- 18x -18 = 6

6x²- 18x -18 - 6 = 0

6x²- 18x -24 = 0

6(x² - 3x - 4) = 0

6(x - 4)(x + 1) = 0

6 = 0 not true

x - 4 = 0 ;   x + 1 = 0

x = 4           x = - 1

The solution set is {4, -1}


Related Questions

Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answers

The answer is the 3rd statement, if a figure is a square, it is a quadrilateral
That is true

each ball has a diameter of 60mmwhich container has the smaller surface area?

Answers

Here hope this helps good luckkkkkkk

In the figure, Line a is parallel to line b.

A. Which equation can be used to determine the value of x?

a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180

Answers

Answer:

b

Step-by-step explanation:

Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50

Answers

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?

Answers

Answer:

4500

Step-by-step explanation:

A cyclist travels 122.5 km in 2 hours. Calculate his speed. *


61.25 km/hr
.016 km/hr
65 km/hr

Answers

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93

Answers

135000002.613! At least I think!

Liza bought 5.035 kg of chicken. Write its weight in words.

Answers

Answer:

five point zero three five

is 3/4 greater than 1? i need help please

Answers

No it is not. 3/4 as a decimal is 0.75, thus making it less than 1.

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

Which expression is equivalent to 1/2b -15

Answers

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11

Answers

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

What is the quotient of 4/5 divided by 1/3?
:

Answers

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p

Answers

$ (30-8p)

Step-by-step explanation:

3 DRINKS- 3P

MEDIUM- 2p

large- 3p

so plus 8 p

Expand the following expression.

Answers

Answer:

C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]

Step-by-step explanation:

distribute

Answer:

(39/4)x + 39/16

Answer C

Step-by-step explanation:

(13/4) * 3x   +    (13/4) * (3/4)

(39/4)x + 39/16

3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12

Answers

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

will give brainliest !!

Answers

Answer:

Triangle A'B'C'

A'B'= 7.81

B'C'= 6

A'C'=5

C) Perimeter= 18.81 Area 15

Triangle ABC

AB=5

BC=4

AC=3

c) Perimeter = 12 Area = 6

Step-by-step explanation:

Triangle ABC work

Perimeter 4+3+√4^2+3^2=12

Area  4*3/2=6

Triangle A'B'C' work

Area 6*5/2=15

Perimeter 6+5+√6^2+5^2=18.81025

Please give brainliest

what is the calculation for 70 increased by 9%

Answers

Answer: 6.3 Increase the number by 9% of its value.

Cuál es grado absoluto de

3x²yz²/4

Answers

Answer:

i dont speak espanish puto

Step-by-step explanation:

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

how can I solve this
1/2 of 20​

Answers

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

Solving Systems of Three equations

(please help i will make you brainliest!!!)

Answers

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Help please and super quick

Answers

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

Evaluate the expression for a = -13.

Answers

Answer: -4

Step-by-step explanation: (9)+(-13)                                                                         9+−13                                                                                                                           9−13                                                                                                                           −4                                                                            

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Find the slope (-10,-3) (7,2)

Answers

Answer:

Let (-10,-3) be (x1, y1)

and (7, 2) be (x2, y2).

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]

Answer:

5/17

Step-by-step explanation:

Slope = Change in /Change in X

Slope = 2 - (-3) / 7 - (-10)

Slope = 5/17

-Chetan K

A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?




please help i will mark as brainlyst ​

Answers

Volume:
= 0.015731581440188783 cubic meters
= 15731.581440188782 cubic centimeters (cc or ml)
= 0.020576131668427984 cubic yards
= 0.5555555555555558 cubic feet
= 959.9999999999999 cubic inches

Answer: 1051.875 inches^3

Step-by-step explanation:

To find the volume of the briefcase, we'll use the formula: L*W*H where;

L = Length

W = Width

H = Height

So we'll have (16.5×12.75×5) inches^3

Which will give 1051.875 inches^3

Which inequality represents this graph?

A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1

Answers

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

(X-3)(X-1)

Expand and simplify

Answers

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

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